Classification of Extremal Double Circulant Formally Self-Dual Even Codes
Classification of Extremal Double Circulant Formally Self-Dual Even Codes
复制标题
极值双循环形式自对偶码的分类
DOI：
10.1023/a:1008206223659
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
M. Harada
中科院分区：
文献类型：
--
作者：
T. Gulliver;M. Harada
形式上的自对偶偶码最近已被研究。双循环偶码是一类这样的码，几乎所有已知的极值形式自对偶偶码都是这种形式。本文将非自对偶的极值双循环码形式化为自对偶偶码。我们还研究了近极值形式自对偶偶码的存在性。
Formally self-dual even codes have recently been studied. Double circulant even codes are a family of such codes and almost all known extremal formally self-dual even codes are of this form. In this paper, we classify all extremal double circulant formally self-dual even codes which are not self-dual. We also investigate the existence of near-extremal formally self-dual even codes.